72904806 has 128 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 20459520.

The previous prime is 72904801. The next prime is 72904829. The reversal of 72904806 is 60840927.

It is a super-2 number, since 2×72904806² = 10630221475795272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72904801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489220 + ... + 489368.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 2^72904806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72904806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

72904806 is an abundant number, since it is smaller than the sum of its proper divisors (117607194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72904806 is a wasteful number, since it uses less digits than its factorization.

72904806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72904806 is about 8538.4311205279. The cubic root of 72904806 is about 417.7521748547.

The spelling of 72904806 in words is "seventy-two million, nine hundred four thousand, eight hundred six".